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PI-type event-triggered H∞ filter for networked T-S fuzzy systems using affine matched membership function approach

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  • Kwon, W.
  • Jin, Yongsik
  • Lee, S.M.

Abstract

This paper handles a design of event-triggered H∞ filter for T-S fuzzy systems in the connection of network communication. The sampled-data fuzzy filter, which take into account both the measurement output and the fuzzy consequent parameter as the sampled signal, is expressed as a fuzzy system with a time-varying delay including the event-triggering variable. Under these considerations, a novel proportional-plus-integral (PI) event triggering condition is proposed to alleviate network allocation. Based time-delay approach, the stability of the filtering error systems is guaranteed by a new Lyapunov Kravoskii functional and by employing generalized free-weighting matrix integral inequality. Furthermore, an affine matched membership based distributed-filter (AMDF) is designed to improve the H∞ performance, utilizing affine transformed membership function as a membership function of fuzzy filter. The affine matched membership function relaxes the parameterized stability condition due to the deviation bounds of sampled fuzzy membership function between consecutive sampling times. To show the effectiveness of proposed method, the results are compared with the unused ones.

Suggested Citation

  • Kwon, W. & Jin, Yongsik & Lee, S.M., 2020. "PI-type event-triggered H∞ filter for networked T-S fuzzy systems using affine matched membership function approach," Applied Mathematics and Computation, Elsevier, vol. 385(C).
    • Handle: RePEc:eee:apmaco:v:385:y:2020:i:c:s0096300320303817
    DOI: 10.1016/j.amc.2020.125420
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    References listed on IDEAS

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    1. Xing, Mengping & Xia, Jianwei & Wang, Jing & Meng, Bo & Shen, Hao, 2019. "Asynchronous H∞ filtering for nonlinear persistent dwell-time switched singular systems with measurement quantization," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    2. Wang, Xuelian & Xia, Jianwei & Wang, Jing & Wang, Jian & Wang, Zhen, 2019. "Passive state estimation for fuzzy jumping neural networks with fading channels based on the hidden Markov model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    3. Nithya, V. & Sakthivel, R. & Sakthivel, R. & Alzahrani, Faris, 2020. "Dissipative-based non-fragile filtering for fuzzy networked control systems with switching communication channels," Applied Mathematics and Computation, Elsevier, vol. 373(C).
    4. Kwon, W. & Koo, Baeyoung & Lee, S.M., 2018. "Novel Lyapunov–Krasovskii functional with delay-dependent matrix for stability of time-varying delay systems," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 149-157.
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